Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly
hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and
hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior
practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are
not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum.The main guiding threads
throughout the book are the Gaussian Ensembles. In particular, Wigner's semicircle law is derived multiple times to illustrate
several techniques (e.g., Coulomb gas approach, replica theory).Most chapters are accompanied by Matlab codes (stored in
an online repository) to guide readers through the numerical check of most analytical results.